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Full text of "Analytical Mechanics"

MOTION
99
GENERAL PROBLEMS.
Find the velocity, the acceleration, motion is defined by the following pair			and the path of a particle whose of equations:
1.	x =	aefce,	y = be~kt.
2.	X   =	a sin eoŁ7	y = a sin 2 o>Ł.
3. 4. 6. 6.	X   = X   = X   — x* =	a sin coŁ; a sin (coŁ + 5), a sin (ooŁ + 5), 4y,	y = 6 cos 2 coi. ?/ = 6 sin (&t + 5). y = 6 cos (toŁ + 5). y = a*2.
7.	X   =	4 at,	y = 6a?.
8. 9.	Z2 = X   =	4: ay, a cos wi,	y = a sin coi. ?/2 = 4 ax.
10.	Ł2 +	2/2 = a2,    a;2 +	• if = 62.